Question

Write a polynomial function of least degree with integral coefficient that has the given zeros.
-2, 2, 4, and 6

Answer 1

If those are the zeros, the factors must be (x+2)(x-2)(x-4)(x-6). Set that equal to 0 and you have the equation.

Answer 2

multiply them together or what

Answer 3

yes

Answer 4

and that will get me the polynomial

Answer 5

Yes. Write y = (x+2)(x-2)(x-4)(x-6)
That is the function that has the given zeros.
I do not know if your instructor requires you to multiply it out or not.

Answer 6

probably wants you to multiply, just to be annoying